D. P. Heyman, T. V. Lakshman, and A. L. Neidhardt, A new method for analysing feedback-based protocols with applications to engineering Web traffic over the Internet, Proceedings of ACM SIGMETRICS, pp.24-38, 1997.

J. W. Roberts and L. Massoulié, Bandwidth sharing and admission control for elastic traffic, Telecommunication Systems, vol.15, pp.185-201, 2000.

A. W. Berger and Y. Kogan, Dimensioning bandwidth for elastic traffic in high-speed data networks, IEEE/ACM Transactions on Networking, vol.8, issue.5, pp.643-654, 2000.
DOI : 10.1109/90.879350

A. A. Kherani and A. Kumar, Stochastic models for throughput analysis of randomly arriving elastic flows in the Internet, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies, 2002.
DOI : 10.1109/INFCOM.2002.1019349

F. Kelly, A. Mauloo, and D. Tan, Rate control for communication networks: shadow prices, proportional fairness and stability, Journal of the Operational Research Society, vol.49, issue.3, pp.237-252, 1998.
DOI : 10.1057/palgrave.jors.2600523

H. Yaiche, R. R. Mazumdar, and C. P. Rosenberg, A game theoretic framework for bandwidth allocation and pricing in broadband networks, IEEE/ACM Transactions on Networking, vol.8, issue.5, pp.667-678, 2000.
DOI : 10.1109/90.879352

S. Low, L. Peterson, and L. Wang, Understanding TCP Vegas: a duality model, Journal of the ACM, vol.49, issue.2, pp.207-235, 2002.
DOI : 10.1145/506147.506152

T. Bonald, L. Massoulié, A. Proutì, and J. Virtamo, A queueing analysis of max-min fairness, proportional fairness and balanced fairness, Queueing Systems, vol.48, issue.7, pp.65-84, 2006.
DOI : 10.1007/s11134-006-7587-7

URL : https://hal.archives-ouvertes.fr/hal-01244245

T. Bonald and A. Proutì-ere, Insensitive bandwidth sharing in data networks, Queueing Systems, vol.44, issue.1, pp.69-100, 2003.
DOI : 10.1023/A:1024094807532

URL : https://hal.archives-ouvertes.fr/hal-01267144

L. Massoulié, Structural properties of proportional fairness: Stability and insensitivity, The Annals of Applied Probability, vol.17, issue.3, pp.809-839, 2007.
DOI : 10.1214/105051606000000907

R. Serfozo, Introduction to Stochastic Networks, 2005.
DOI : 10.1007/978-1-4612-1482-3

W. Whitt, Stochastic-process limits, ser. Springer Series in Operations Research, 2002.

T. Bonald and J. Virtamo, A recursive formula for multirate systems with elastic traffic, IEEE Communications Letters, vol.9, issue.8, pp.753-755, 2005.
DOI : 10.1109/LCOMM.2005.1496605

URL : https://hal.archives-ouvertes.fr/hal-01275699

P. Gazdzicki, I. Lambadaris, and R. Mazumdar, Blocking probabilities for large multirate Erlang loss systems Advances in Applied Prob, pp.1997-1009, 1993.

P. Whittle, Systems in stochastic equilibrium, 1986.

F. Baccelli and P. Brémaud, Elements of Queueing Theory, ser. Stochastic Modelling and Applied Probability, 2003.

J. Kaufman, Blocking in a Shared Resource Environment, IEEE Transactions on Communications, vol.29, issue.10, pp.1474-1481, 1981.
DOI : 10.1109/TCOM.1981.1094894

J. Roberts, A service system with heterogeneous user requirement, Performance of Data Communications Systems and Their Applications, pp.423-431, 1981.